SOLUTION: find the x-intercepts of the polynomial fuction.state weather the graph crosses the x-axis or touches the x-axis and turns around at each intercept. x^5-30x^3+125x=0

Question 208454: find the x-intercepts of the polynomial fuction.state weather the graph crosses the x-axis or touches the x-axis and turns around at each intercept.
x^5-30x^3+125x=0
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
x^5 - 30x^3 + 125x = 0
Factor out x
x(x^4 - 30x^2 + 125) = 0
Factor the quadratic
x(x^2 - 5)(x^2 - 25) = 0
three solutions
x = 0
and
x = +/-
and
x = +/-
x = +/-5
:
Each intercept crosses the x axis, as seen on the graph

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